{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:B2YNFHURPETVJOXTUG2ORG747D","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"8a0ef53765e11d7cfc099d746b6c1958e094ff09a39f8cee6e81bc8d61cfe2f8","cross_cats_sorted":["gr-qc","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-10-04T19:50:02Z","title_canon_sha256":"00f935d0e4574ee6ed57177f3a596f951d28d2a5222aa07a2a6e23f523c0d5f5"},"schema_version":"1.0","source":{"id":"1610.01142","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.01142","created_at":"2026-05-18T00:54:16Z"},{"alias_kind":"arxiv_version","alias_value":"1610.01142v1","created_at":"2026-05-18T00:54:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.01142","created_at":"2026-05-18T00:54:16Z"},{"alias_kind":"pith_short_12","alias_value":"B2YNFHURPETV","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"B2YNFHURPETVJOXT","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"B2YNFHUR","created_at":"2026-05-18T12:30:07Z"}],"graph_snapshots":[{"event_id":"sha256:af9b39016a270301f92e3ae6419e68e8c8aa8bd1ec2e0e4b6bb1b9d15806ef92","target":"graph","created_at":"2026-05-18T00:54:16Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We discretize the Weyl equation for a massless, spin-1/2 particle on a time-diagonal, hypercubic spacetime lattice with null faces. The amplitude for a step of right-handed chirality is proportional to the spin projection operator in the step direction, while for left-handed it is the orthogonal projector. Iteration yields a path integral for the retarded propagator, with matrix path amplitude proportional to the product of projection operators. This assigns the amplitude $i^{\\pm T}\\, {3}^{-B/2}\\,2^{-N}$ to a path with $N$ steps, $B$ bends, and $T$ right-handed minus left-handed bends, where t","authors_text":"Brendan Z. Foster, Ted Jacobson","cross_cats":["gr-qc","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-10-04T19:50:02Z","title":"Spin on a 4D Feynman Checkerboard"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.01142","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:82e0bde4328988aadfb91e87178ca07ff8bd8d87457a70a3e5b62ca81278958e","target":"record","created_at":"2026-05-18T00:54:16Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"8a0ef53765e11d7cfc099d746b6c1958e094ff09a39f8cee6e81bc8d61cfe2f8","cross_cats_sorted":["gr-qc","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-10-04T19:50:02Z","title_canon_sha256":"00f935d0e4574ee6ed57177f3a596f951d28d2a5222aa07a2a6e23f523c0d5f5"},"schema_version":"1.0","source":{"id":"1610.01142","kind":"arxiv","version":1}},"canonical_sha256":"0eb0d29e91792754baf3a1b4e89bfcf8ff48f4c0e98d5ec6cce7acbe3a13a7a7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0eb0d29e91792754baf3a1b4e89bfcf8ff48f4c0e98d5ec6cce7acbe3a13a7a7","first_computed_at":"2026-05-18T00:54:16.533925Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:54:16.533925Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8chj+l2xBQ3NFk0vDbOO/AR0Li2ORurI0F319wdgm/v5HsGUwjZ2wYHvnWA6BMWPlet8oMGLHR5BJDcA5ztIBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:54:16.534334Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.01142","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:82e0bde4328988aadfb91e87178ca07ff8bd8d87457a70a3e5b62ca81278958e","sha256:af9b39016a270301f92e3ae6419e68e8c8aa8bd1ec2e0e4b6bb1b9d15806ef92"],"state_sha256":"c7ad55099dd72341540e20c492a0eb8d7ed7a4d180865da08e91d7c4b097b603"}